Solved: Let a. Show that b. Find the volume of the solid

Chapter 6, Problem 14E

(choose chapter or problem)

Let $g(x)=\left\{\begin{array}{ll} (\tan x)^{2} / x, & 0<x \leq \pi / 4 \\ 0, & x=0 \end{array}\right.$

a. Show that $x g(x)=(\tan x)^{2}, 0 \leq x \leq \pi / 4$.

b. Find the volume of the solid generated by revolving the shaded region about the y-axis in the accompanying figure.

Equation Transcription:

$g(x)=\ \{{\ }_{0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=0}^{(tan\ x{)}^{2}/x,\ \ \ \ \ \ 0\ <\ x\ \leq{}\ \pi{}/4}$

$xg(x)=(tan\ x{)}^{2},\ 0\leq{}x\leq{}\pi{}/4$

Text Transcription:

g(x)={ tan^2 x/x, 0<x leq pi/4 0, x=0

xg(x)=(tan x)^2 , 0 leq x leq pi/4

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